You can set this up as an algebraic equation using the ratio:
=
where x = number of skiers
Cross multiply:
x + 1250 = 2x
Solve for x:
-x = -1250
x=1250
To find the number of snowboarders, add 1250.
1250 + 1250 = 2500
1250 skiers and 2500 snowboarders bought season passes.
Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
9,899 = 206x
He divided by 206
He got 48.053 and rounded up to 49
My using the equation, we can see that he is correct.
Answer:
The correct answer would be chart A.
Step-by-step explanation: